System of Balance Laws of Mixture Type: Mixture of Dissipative Polyatomic Gases

Tommaso Ruggeri and Masaru Sugiyama
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Tommaso Ruggeri: University of Bologna, Department of Mathematics and Research Center on Applied Mathematics
Masaru Sugiyama: Nagoya Institute of Technology

Chapter Chapter 31 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 597-606 from Springer

Abstract: Abstract System of balance laws of mixture type is a system of partial differential equations that has a structure similar to the system of a mixture of continuous media, i.e., its main part of the operator is composed of the main parts of several components and the interactions among the components are caused only through the production terms (see Definition 31.1 below). We study firstly the general properties obtained by imposing the principle of Galilean invariance and the entropy principle. These properties permit to construct, from a single component theory, the corresponding theory of mixtures in an easy way. Secondly, as an illustrative example of the general theory, we write down the hyperbolic system of balance laws of a mixture in which each component is prescribed by RET with 6 fields (ET6). This is the simplest model after the Eulerian mixture model. Global existence of smooth solutions for small initial data is also proved.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_31

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DOI: 10.1007/978-3-030-59144-1_31

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